An Introduction to Complex Analysis in Several Variables: Volume 7

Lars Hormander

ISBN 10: 0444884467 / ISBN 13: 9780444884466

Editore: Elsevier Science & Technology, 1990

Riguardo questo articolo

This item is printed on demand. New copy - Usually dispatched within 5-9 working days 585.

Codice articolo C9780444884466

Dati bibliografici

• Titolo: An Introduction to Complex Analysis in Several Variables: Volume 7
• Editore: Elsevier Science & Technology
• Data di pubblicazione: 1990
• Lingua: Inglese
• ISBN 10: 0444884467
• ISBN 13: 9780444884466
• Rilegatura: Hardback
• Edizione: terza edizione
• Condizione: New

Descrizione articolo

Riassunto

A number of monographs of various aspects of complex analysis in several variables have appeared since the first version of this book was published, but none of them uses the analytic techniques based on the solution of the Neumann Problem as the main tool.

The additions made in this third, revised edition place additional stress on results where these methods are particularly important. Thus, a section has been added presenting Ehrenpreis' ``fundamental principle'' in full. The local arguments in this section are closely related to the proof of the coherence of the sheaf of germs of functions vanishing on an analytic set. Also added is a discussion of the theorem of Siu on the Lelong numbers of plurisubharmonic functions. Since the L² techniques are essential in the proof and plurisubharmonic functions play such an important role in this book, it seems natural to discuss their main singularities.

Recensione

...third edition of this well-known, self-contained exposition of complex analysis from point of view of the theory of partial differential equations...
Bulletin of the American Mathematical Society
...this new edition ... remains a basic reference and compulsory reading for the new generations of complex analysts.
Revue Roumaine de Mathématiques Pures et Appliquées